# Rounding decimals

## In a nutshell

Just like with whole numbers, decimals can be rounded up or down using very similar rules.

## Rounding to the nearest whole number

### Definition

Rounding to the nearest whole number means to round a decimal up or down to the nearest whole number.

### Rounding decimals with one decimal place

#### PROCEDURE

- Look at the digit in the
**tenths** column.

- If the digit is $0,1,2,3$ or $4$, round
**down** to the nearest whole number. - If the digit is $5,6,7,8$ or $9$, round
**up** to the nearest whole number.

##### Example 1

*Round *$1.9$* to the nearest whole number.*

*Look at the tenths digit.*

*The digit in the tenths column is *$9$*.*

*Round up to the next whole number.*

$1.9\rightarrow\underline2$

### Rounding decimals with two or more decimal places

If a number has two or more decimal places, the process is exactly the same. Only the number in the tenths column is of any importance.

##### Example 2

Round $3.28$ to the nearest whole number.

Look at the tenths digit.

*The digit in the tenths column is *$2$*.*

Round down to the closest whole number.

$3.28\rightarrow\underline{3}$

## Rounding to one decimal place

### Definition

Rounding to one decimal place *(or the nearest tenth) *means to round a decimal up or down to the closest one decimal place.

#### Procedure

- Look at the digit in the
**hundredths** column.

- If the digit is $0,1,2,3$ or $4$, round
**down **to the nearest one decimal place. - If the digit is $5,6,7,8$ or $9$, round
**up **to the nearest one decimal place.

####

##### Example 3

*Round *$8.76$* to one decimal place.*

*Look at the hundredths digit.*

*The digit in the hundredths column is *$6$*.*

*Round up to the closest tenth.*

**$8.76\rightarrow\underline{8.8}$

**

*Note:** A number rounded to one decimal place (or the nearest tenth) should have no digits to the right of the tenths digit.*